Free Grade 3 Introducing Range Lesson Plans
Free Grade 3 lesson plans for Introducing Range: 12 real questions with a full answer key and worked solutions. The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.
Free
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing range
Explain introducing range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing range
Calculate introducing range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing range
Compare introducing range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing range
Justify introducing range accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Introducing Range works
The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.For the data 3, 4, 11, 14, 18, find the mean, median, mode and range.[1]
- 2.For the data 2, 9, 10, 15, 20, find the mean, median, mode and range.[1]
- 3.For the data 2, 8, 12, 14, 15, find the mean, median, mode and range.[1]
- 4.For the data 6, 7, 8, 11, 14, find the mean, median, mode and range.[1]
- 5.For the data 1, 3, 4, 12, 23, 30, 38, find the mean, median, mode and range.[2]
- 6.For the data 6, 19, 19, 32, 36, 37, 37, find the mean, median, mode and range.[2]
- 7.For the data 1, 3, 6, 30, 36, 36, 40, find the mean, median, mode and range.[2]
- 8.For the data 19, 30, 31, 32, 36, 37, 37, find the mean, median, mode and range.[2]
- 9.For the data 7, 13, 15, 16, 23, 31, 47, 52, 55, find the mean, median, mode and range.[3]
- 10.For the data 10, 35, 35, 42, 43, 44, 45, 45, 54, find the mean, median, mode and range.[3]
- 11.For the data 6, 8, 11, 21, 24, 28, 37, 49, 56, find the mean, median, mode and range.[3]
- 12.For the data 9, 11, 22, 24, 34, 38, 45, 48, 49, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10, median 11, mode none, range 15
Mean = 50 ÷ 5 = 10. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 18 − 3 = 15.
2. Mean 11.2, median 10, mode none, range 18
Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 20 − 2 = 18.
3. Mean 10.2, median 12, mode none, range 13
Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 15 − 2 = 13.
4. Mean 9.2, median 8, mode none, range 8
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 14 − 6 = 8.
5. Mean 15.86, median 12, mode none, range 37
Mean = 111 ÷ 7 = 15.86. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 38 − 1 = 37.
6. Mean 26.57, median 32, mode 19 and 37, range 31
Mean = 186 ÷ 7 = 26.57. Median = middle value in order = 32. Mode = most common = 19 and 37. Range = 37 − 6 = 31.
7. Mean 21.71, median 30, mode 36, range 39
Mean = 152 ÷ 7 = 21.71. Median = middle value in order = 30. Mode = most common = 36. Range = 40 − 1 = 39.
8. Mean 31.71, median 32, mode 37, range 18
Mean = 222 ÷ 7 = 31.71. Median = middle value in order = 32. Mode = most common = 37. Range = 37 − 19 = 18.
9. Mean 28.78, median 23, mode none, range 48
Mean = 259 ÷ 9 = 28.78. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 55 − 7 = 48.
10. Mean 39.22, median 43, mode 35 and 45, range 44
Mean = 353 ÷ 9 = 39.22. Median = middle value in order = 43. Mode = most common = 35 and 45. Range = 54 − 10 = 44.
11. Mean 26.67, median 24, mode none, range 50
Mean = 240 ÷ 9 = 26.67. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 56 − 6 = 50.
12. Mean 31.11, median 34, mode none, range 40
Mean = 280 ÷ 9 = 31.11. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 49 − 9 = 40.
Worked examples
For the data 3, 3, 5, 9, 14, find the mean, median, mode and range.
- Mean = 34 ÷ 5 = 6.8.
- Median = middle value in order = 5.
- Mode = most common = 3.
- Range = 14 − 3 = 11.
- Answer: Mean 6.8, median 5, mode 3, range 11
For the data 7, 9, 10, 19, 25, 31, 38, find the mean, median, mode and range.
- Mean = 139 ÷ 7 = 19.86.
- Median = middle value in order = 19.
- Mode = most common = no repeated value.
- Range = 38 − 7 = 31.
- Answer: Mean 19.86, median 19, mode none, range 31
For the data 2, 4, 7, 19, 24, 33, 34, 44, 53, find the mean, median, mode and range.
- Mean = 220 ÷ 9 = 24.44.
- Median = middle value in order = 24.
- Mode = most common = no repeated value.
- Range = 53 − 2 = 51.
- Answer: Mean 24.44, median 24, mode none, range 51
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Finds the median without ordering the data.
Correction: Always put the numbers in order first.
Gives the range as the two end numbers.
Correction: Range is one number: largest minus smallest.
Teacher tips
- · Collect real class data (heights, shoe sizes).
Parent tips
- · Work out your average bedtime over a week.
Real-life applications
- · Sports averages, typical prices, test scores.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing Range lesson plan really free?
- Yes. Every lesson plans on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Mode. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Introducing Range?
- Move on to Working with Range, Range in Context, Mean, Median, which build directly on this idea.
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